4179591804025 has 27 divisors (see below), whose sum is σ = 5696833262799. Its totient is φ = 3039621354000.

The previous prime is 4179591803999. The next prime is 4179591804029. The reversal of 4179591804025 is 5204081959714.

The square root of 4179591804025 is 2044405.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1504653049449 + 2674938754576 = 1226643^2 + 1635524^2 .

It is not a de Polignac number, because 4179591804025 - 2⁷ = 4179591803897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4179591804029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112423690 + ... + 112460860.

Almost surely, 2^{4179591804025} is an apocalyptic number.

4179591804025 is the 2044405-th square number.

4179591804025 is the 1022203-rd centered octagonal number.

It is an amenable number.

4179591804025 is a deficient number, since it is larger than the sum of its proper divisors (1517241458774).

4179591804025 is an frugal number, since it uses more digits than its factorization.

4179591804025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74374 (or 37187 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 4179591804025 in words is "four trillion, one hundred seventy-nine billion, five hundred ninety-one million, eight hundred four thousand, twenty-five".